Protomathematics in the late age of stone and in ancient Mesopotamia and Egypt -- The rise of theoretical mathematics in ancient Greece -- Mathematics in the west during Hellenistic and Roman times -- Arabic primacy with Chinese, Indian and Maya contributions -- The Medieval-Renaissance-reformation periods in Europe -- The scientific revolution at its zenith (1620-1720) -- The age of Enlightenment and the French revolution (1720-1800) -- The nineteenth century -- The early twentieth century to 1932